Properties

1
Properties

• Beat the Computer Drill

2
Directions

• A slide will appear showing an equation which
  illustrates a property.
• Say the property aloud before the computer can
  answer (6 sec).
• You will hear a sound when the slide changes.

3
a b b a
4
Commutative Property for Addition
a b b a
5
ab ac a(b c)
6
Distributive Property
ab ac a(b c)
7
a ? b b ? a
8
Commutative Property for Multiplication
a ? b b ? a
9
a ? 1 a
10
Multiplicative Identity Property
a ? 1 a
11
a 0 a
12
Additive Identity Property
a 0 a
13
(a ? b) ? c a ? (b ? c)
14
Associative Property for Multiplication
(a ? b) ? c a ? (b ? c)
15
(a b) c a (b c)
16
Associative Property for Addition
(a b) c a (b c)
17
a (-a) 0
18
Additive Inverse Property
a (-a) 0
19
a(b c) ab ac
20
Distributive Property
a(b c) ab ac
21
a ? 0 0
22
Multiplicative Property of Zero
a ? 0 0
23
a ? 1
1
a
24
Multiplicative Inverse Property
25
If x b, then x c b c
26
Addition Property of Equality
If x b, then x c b c
27
If x b, then x ? c b ? c
28
Multiplication Property of Equality
If x b, then x ? c b ? c
29
a a
30
Reflexive Property of Equality
a a
31
If a b, then b a
32
Symmetric Property of Equality
If a b, then b a
33
If a b, and b c, then a c
34
Transitive Property of Equality
If a b, and b c, then a c
35
If x 3, then 5x 15
36
Substitution Property of Equality
If x 3, then 5x 15
37
Good Job!